How do I unsubscribe all handlers from an event for a particular class in C#?

Probably the simplest way to accomplish this would be to store all of your subscribed events for an avatar in an ArrayList of delegates to the events.

When the avatar leaves the room, simply loop through the list of delegates performing a standard remove (-=).

Each delegate has a method named GetInvocationList() that returns all the actual delegates that have been registered. So, assuming the delegate Type (or event) is named say MyDelegate, and the handler instance variable is named myDlgHandler, you can write:

Delegate[] clientList = myDlgHandler.GetInvocationList();
foreach (var d in clientList)
       myDlgHandler -= (d as MyDelegate);

to cover the case where it might be null,

 if(myDlgHandler != null)
  foreach (var d in myDlgHandler.GetInvocationList())
       myDlgHandler -= (d as MyDelegate);

Is there anything wrong with a standard remove?

public void RemovePlayer(Avatar theAvatar) {
 AvatarEntersRoom -= new EventHandler<EnterRoomEventArgs>(theAvatar.HandleAvatarEntersRoom);

}

EDIT

Based on your update it appears that you want code that will remove a particular object from all events on a particular class. There is no realistic way to accomplish this goal. It's often a bit verbose but the best way is to individually add/remove a particular object method combo from every event.

The only way to get close to this functionality is to use reflection. You could reflectively grab all events on your class and then do some magic to find all instances of a class within the event chain. This will only be a partial solution though because it will ignore such things as a lambda expression event handlers.

you can run on all the event subscribers with:

_Event.GetInvocationList()

and remove each event handler.

Delegate[] subscribers = myEvent.GetInvocationList();

for(int i = 0; i < subscribers.Length; i++)    
{    
    myEvent -= subscribers[i] as yourDelegateType;   
}